398052204837120 has 432 divisors, whose sum is σ = 1379107107810432. Its totient is φ = 106001824481280.

The previous prime is 398052204837047. The next prime is 398052204837163. The reversal of 398052204837120 is 21738402250893.

398052204837120 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 5 + 220 + 48 + 371 + 2 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 55851294997 + ... + 55851302123.

It is an arithmetic number, because the mean of its divisors is an integer number (3192377564376).

Almost surely, 2^{398052204837120} is an apocalyptic number.

398052204837120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398052204837120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689553553905216).

398052204837120 is an abundant number, since it is smaller than the sum of its proper divisors (981054902973312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

398052204837120 is a wasteful number, since it uses less digits than its factorization.

398052204837120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13118 (or 13101 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 398052204837120 in words is "three hundred ninety-eight trillion, fifty-two billion, two hundred four million, eight hundred thirty-seven thousand, one hundred twenty".